Answer:
y = -1/4x + 4
Explanation:
x+4y=28
4y = -x + 28
y = -1/4x + 7
slope m = -1/4
Parallel lines have similar slope so we'll use -1/4 from above and given point (8,2) to find y-intercept.
y = mx +b
2 = -1/4(8) + b
2 = -2 + b
b = 4
Using m and b from above we can now form the new equation of line that is parallel to y = -1/4x + 7.
y = mx + b
y = -1/4x + 4